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Popular >

expand x(x+2)^3

Solution

expand

x (x + 2)^{3}

Solution

x^{4} + 6 x^{3} + 12 x^{2} + 8 x

Solution steps

x (x + 2)^{3}

Expand

(x + 2)^{3} : x^{3} + 6 x^{2} + 12 x + 8

= x (x^{3} + 6 x^{2} + 12 x + 8)

Distribute parentheses

= x x^{3} + x \cdot 6 x^{2} + x \cdot 12 x + x \cdot 8

Simplify

x x^{3} + x \cdot 6 x^{2} + x \cdot 12 x + x \cdot 8 : x^{4} + 6 x^{3} + 12 x^{2} + 8 x

= x^{4} + 6 x^{3} + 12 x^{2} + 8 x

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Frequently Asked Questions (FAQ)

What is expand x(x+2)^3 ?
The solution to expand x(x+2)^3 is x^4+6x^3+12x^2+8x